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49117950 = 23252731503
BaseRepresentation
bin1011101101011…
…1101011111110
310102102110011100
42323113223332
5100033233300
64512433530
71134332010
oct273275376
9112373140
1049117950
11257a9052
12145488a6
13a239a9b
1467481b0
1544a3700
hex2ed7afe

49117950 has 144 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 10843200.

The previous prime is 49117933. The next prime is 49117963. The reversal of 49117950 is 5971194.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97399 + ... + 97901.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 249117950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49117950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

49117950 is an abundant number, since it is smaller than the sum of its proper divisors (106872066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49117950 is a wasteful number, since it uses less digits than its factorization.

49117950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 49117950 is about 7008.4199360484. The cubic root of 49117950 is about 366.2239514453.

The spelling of 49117950 in words is "forty-nine million, one hundred seventeen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 31 35 42 45 50 62 63 70 75 90 93 105 126 150 155 175 186 210 217 225 279 310 315 350 434 450 465 503 525 558 630 651 775 930 1006 1050 1085 1302 1395 1509 1550 1575 1953 2170 2325 2515 2790 3018 3150 3255 3521 3906 4527 4650 5030 5425 6510 6975 7042 7545 9054 9765 10563 10850 12575 13950 15090 15593 16275 17605 19530 21126 22635 25150 31186 31689 32550 35210 37725 45270 46779 48825 52815 63378 75450 77965 88025 93558 97650 105630 109151 113175 140337 155930 158445 176050 218302 226350 233895 264075 280674 316890 327453 389825 467790 528150 545755 654906 701685 779650 792225 982359 1091510 1169475 1403370 1584450 1637265 1964718 2338950 2728775 3274530 3508425 4911795 5457550 7016850 8186325 9823590 16372650 24558975 49117950